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General Positions of the Group P42/m'n'm' (#136.503)
136.503 P42/m'n'm' (UNI symbol)

For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: P42/m'n'm' (#136.9.1160)

N Standard/Default Setting
(x,y,z) form Matrix form Geom. interp. Seitz notation
1 x, y, z, +1
mx,my,mz
(
   1   0   0    0
   0   1   0    0
   0   0   1    0
)
 1 +1 { 1 | 0 }
2 -y+1/2, x+1/2, z+1/2, +1
-my,mx,mz
(
   0  -1   0   1/2
   1   0   0   1/2
   0   0   1   1/2
)
 4+ (0,0,1/2) 0,1/2,z +1 { 4+001 | 1/2 1/2 1/2 }
3 y+1/2, -x+1/2, z+1/2, +1
my,-mx,mz
(
   0   1   0   1/2
  -1   0   0   1/2
   0   0   1   1/2
)
 4- (0,0,1/2) 1/2,0,z +1 { 4-001 | 1/2 1/2 1/2 }
4 x+1/2, -y+1/2, -z+1/2, +1
mx,-my,-mz
(
   1   0   0   1/2
   0  -1   0   1/2
   0   0  -1   1/2
)
 2 (1/2,0,0) x,1/4,1/4 +1 { 2100 | 1/2 1/2 1/2 }
5 -x+1/2, y+1/2, -z+1/2, +1
-mx,my,-mz
(
  -1   0   0   1/2
   0   1   0   1/2
   0   0  -1   1/2
)
 2 (0,1/2,0) 1/4,y,1/4 +1 { 2010 | 1/2 1/2 1/2 }
6 -x, -y, z, +1
-mx,-my,mz
(
  -1   0   0    0
   0  -1   0    0
   0   0   1    0
)
 2 0,0,z +1 { 2001 | 0 }
7 y, x, -z, +1
my,mx,-mz
(
   0   1   0    0
   1   0   0    0
   0   0  -1    0
)
 2 x,x,0 +1 { 2110 | 0 }
8 -y, -x, -z, +1
-my,-mx,-mz
(
   0  -1   0    0
  -1   0   0    0
   0   0  -1    0
)
 2 x,-x,0 +1 { 21-10 | 0 }
9 -x, -y, -z, -1
-mx,-my,-mz
(
  -1   0   0    0
   0  -1   0    0
   0   0  -1    0
)'
 -1 0,0,0 -1 { -1' | 0 }
10 y+1/2, -x+1/2, -z+1/2, -1
my,-mx,-mz
(
   0   1   0   1/2
  -1   0   0   1/2
   0   0  -1   1/2
)'
 -4+ 1/2,0,z 1/2,0,1/4 -1 { -4'+001 | 1/2 1/2 1/2 }
11 -y+1/2, x+1/2, -z+1/2, -1
-my,mx,-mz
(
   0  -1   0   1/2
   1   0   0   1/2
   0   0  -1   1/2
)'
 -4- 0,1/2,z 0,1/2,1/4 -1 { -4'-001 | 1/2 1/2 1/2 }
12 -x+1/2, y+1/2, z+1/2, -1
-mx,my,mz
(
  -1   0   0   1/2
   0   1   0   1/2
   0   0   1   1/2
)'
 n (0,1/2,1/2) 1/4,y,z -1 { m'100 | 1/2 1/2 1/2 }
13 x+1/2, -y+1/2, z+1/2, -1
mx,-my,mz
(
   1   0   0   1/2
   0  -1   0   1/2
   0   0   1   1/2
)'
 n (1/2,0,1/2) x,1/4,z -1 { m'010 | 1/2 1/2 1/2 }
14 x, y, -z, -1
mx,my,-mz
(
   1   0   0    0
   0   1   0    0
   0   0  -1    0
)'
 m x,y,0 -1 { m'001 | 0 }
15 -y, -x, z, -1
-my,-mx,mz
(
   0  -1   0    0
  -1   0   0    0
   0   0   1    0
)'
 m x,-x,z -1 { m'110 | 0 }
16 y, x, z, -1
my,mx,mz
(
   0   1   0    0
   1   0   0    0
   0   0   1    0
)'
 m x,x,z -1 { m'1-10 | 0 }

Go to the list of the Wyckoff Positions of the Group P42/m'n'm' (#136.503)
Go to the Systematic Absences for the Group P42/m'n'm' (#136.503)

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